Math Problem Statement
Constructed Response Question Jessica solved the expression (-5.25)+(-2)+3/2
and determined its value to be 1.
Do you agree with Jessica’s conclusion? Justify your answer.
Solution
Let's solve the expression step-by-step and see if Jessica's conclusion is correct:
The given expression is:
Step 1: Add and
Step 2: Add (which is 1.5) to
Conclusion:
The result of the expression is , not 1.
Thus, I do not agree with Jessica's conclusion. She likely made an error in her calculations. The correct value of the expression is .
Would you like more details or have any questions?
Here are 5 related questions to consider:
- What are common mistakes in adding positive and negative numbers?
- How do you convert fractions into decimal form?
- Why is order of operations important in solving expressions?
- What strategies can help avoid errors in arithmetic calculations?
- How do you handle negative numbers when solving equations?
Tip: When working with multiple operations in an expression, be mindful of signs (positive and negative) and fractions to avoid simple arithmetic errors.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Operations with Fractions
Negative Numbers
Formulas
Addition of negative numbers: a + (-b) = a - b
Converting fractions to decimals: 3/2 = 1.5
Theorems
-
Suitable Grade Level
Grades 6-8
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